On wavelet multipliers and Landau–Pollak–Slepian operators on locally compact abelian topological groups

Abstract

In this paper, we define the wavelet multiplier and Landau–Pollak–Slepian (L.P.S) operators on the Hilbert space $$L^2(G)$$ , where G is a locally compact abelian topological group and investigate some of their properties. In particular, we show that they are bounded linear operators, and are in Schatten p-class spaces, $$1 \le p \le \infty $$ , and we determine their trace class.